What is the Least Common Multiple of 68702 and 68714?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 68702 and 68714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68702 and 68714, than apply into the LCM equation.

GCF(68702,68714) = 2
LCM(68702,68714) = ( 68702 × 68714) / 2
LCM(68702,68714) = 4720789228 / 2
LCM(68702,68714) = 2360394614

Least Common Multiple (LCM) of 68702 and 68714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68702 and 68714. First we will calculate the prime factors of 68702 and 68714.

Prime Factorization of 68702

Prime Factorization of 68714

Now multiplying the highest exponent prime factors to calculate the LCM of 68702 and 68714.

LCM(68702,68714) = 2¹ × 34351¹ × 17¹ × 43¹ × 47¹
LCM(68702,68714) = 2360394614